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Topology optimization of dynamics problems with Padé approximants
Author(s) -
Jensen Jakob S.
Publication year - 2007
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2065
Subject(s) - topology optimization , sensitivity (control systems) , topology (electrical circuits) , mathematical optimization , mathematics , vibration , computer science , finite element method , engineering , physics , structural engineering , electronic engineering , acoustics , combinatorics
An efficient procedure for topology optimization of dynamics problems is proposed. The method is based on frequency responses represented by Padé approximants and analytical sensitivity analysis derived using the adjoint method. This gives an accurate approximation of the frequency response over wide frequency ranges and a formulation that allows for design sensitivities to be computed at low computational cost also for a large number of design variables. Two examples that deal with optimization of forced vibrations are included. Copyright © 2007 John Wiley & Sons, Ltd.